Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
권호 표지

On a Normal Contact Metric Manifold

  • Calin, Constantin (Technical University "Gh.Asachi", Department of Mathematics) ;
  • Ispas, Mihai (Technical University "Gh.Asachi", Department of Mathematics)
  • Received : 2003.12.18
  • Published : 2005.03.23
Download PDF
⟨ Previous Next ⟩

Abstract

We find the expression of the curvature tensor field for a manifold with is endowed with an almost contact structure satisfying the condition (1.7). By using this condition we obtain some properties of the Ricci tensor and scalar curvature (d. Theorem 3.2 and Proposition 3.2).

Keywords

References

  1. Lecture Notes in Math. v.509 Contact manifolds in Riemannian Geometry Blair, D.E.
  2. Kenmotsu manifolds with ${\eta}$-parallel Ricci tensor Calin, C.
  3. Alg. Groups and Geom. v.16 On some properties of a quasi-Sasakian manifolds Calin, C.
  4. Tensor N. S. v.20 On Kaehlerian hypersurfaces in almost contact metric spaces Eum, S.S.
  5. J. Math. Soc. Japan v.19 Hypersurfaces with parallel Ricci tensor in a space of constant holomorphic sectional curvature Takahashi, T.
  6. Structures on manifolds Yano, K.;Kon, M.